Figure 3
From: Magnetic nanoparticles hyperthermia in a non-adiabatic and radiating process

Thermal response of our suspensions. Time evolution of the temperature of our magnetic (a,b) magnetite and (c–e) magnesium ferrite nanoparticles dispersed in water. The gray and white zones delimit the time periods corresponding to the heating and cooling processes, in which the suspension is exposed to an alternating magnetic field on and off, respectively. The magnetic hyperthermia experiments were performed with an AMF with frequency of 70.5 kHz and amplitude of 70 Oe. The symbols are the experimental data for the temperature as a function of the time. The red solid line in the heating process is the data fit performed using the solution of Eq. (23) obtained numerically through the Runge–Kutta method. The blue solid line in turn is the numerical calculation for the time evolution of the temperature in the cooling process, obtained solving numerically Eq. (19), in this case assuming T(0) as the maximum temperature achieved in the heating process, and the parameter \(\epsilon\) obtained previously from the fit. The values of SLP and effective thermal conductance into the surrounding of the sample, \(\epsilon\), estimated from the fits are reported in Table 1.